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Given the two points (0, -5) and (-4, 0), determine the value of a and b.

User Miyazaki
by
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1 Answer

6 votes

Answer:

Ax + By = C

5x + 4y = -20

a is 5, b is 4

Explanation:

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

= (0 - (-5)) / (-4 - 0)

= 5 / -4

m = -5/4

Use m above and anyone point to find y-intercept, let's use (-4, 0):

y = mx + b

0 = -5/4(-4) + b

0 = 5 + b

b = -5

Slope intercept form using m and b from above:

y = mx + b

y = -5/4x - 5

Standard form Ax + By = C:

y = -5/4x - 5

5/4x + y = -5

5x + 4y = -20

User Krzych
by
7.6k points

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